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Finding the Fourth Proportional to 11,919.33, 17,879.22 and 3,154.47

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Solution

The fourth proportional to 11,919.33, 17,879.22 and 3,154.47 is: 4,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.33 : 17,879.22 = 3,154.47 : x
  2. Step 2: Convert to fraction form
    11,919.33/17,879.22 = 3,154.47/x
  3. Step 3: Cross multiply
    11,919.33x = 17,879.22 × 3,154.47
  4. Step 4: Simplify right side
    11,919.33x = 56,399,463.11
  5. Step 5: Solve for x
    x = 56,399,463.11/11,919.33
  6. Step 6: Final answer
    x = 4,731.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.